I just thought I would post some math problems for those who might enjoy them. Some may be very difficult, some may be very easy.Two hikers walking at the same rate leave a camp at the same time, one going due north, the other due east. After each has gone a mile, the northbound camper turns 15° clockwise and the eastbound hiker turns 15° counterclockwise. The repeat these turns each successive mile until they meet. How far from camp are they when they meet?
And we'll throw in a calc one too ...
The velocity (in feet/sec) of a a rocket whose initial mass (including fuel) is m is:
where u is the sxpulsion speed of the fuel, r is the rate at which the fuel is consumed, and g = -32 feet/sec² is the acceleration due to gravity. Find the position equation for a rocket wfor which m = 50,000 lbs, u = 12,000 feet/sec, and r = 400 lbs/sec. What is the height of the rocket when t = 100 sec? (Assuming the rocket was fired from ground level straight up)[Code:v = gt + u ln[ m / (m-rt)]; t < m / r